Atkin-Lehner |
2- 3+ 19- 67- |
Signs for the Atkin-Lehner involutions |
Class |
22914h |
Isogeny class |
Conductor |
22914 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
34816 |
Modular degree for the optimal curve |
Δ |
42798219264 = 216 · 33 · 192 · 67 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 0 -6 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1256,14251] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:113:1] [-19:185:1] |
Generators of the group modulo torsion |
j |
8109697613571/1585119232 |
j-invariant |
L |
9.1319659247345 |
L(r)(E,1)/r! |
Ω |
1.0832226437513 |
Real period |
R |
0.52689802377045 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22914a1 |
Quadratic twists by: -3 |